Study of the optimal time for changing heading in flight convergence conflict

Based on the situation that, currently, the solving of the problem of flight gathering conflict merely through turning one aircraft´s heading, this paper intends to provide the methods of computing the optimal division time through simplifying the computation model of conflict detection. Meanwhile, two significant control points of the homing time is confirmed, and the methods of computing the optimal homing time is achieved through uniting the relative motion coordinate system and the absolute coordinate system. And at last, an example is given to demonstrate the correctness and effectiveness of this method.